Q.10279·Miscellaneous·2015·EasyCarbon and energy requirements of autotrophic organisms are fulfilled by:View question
Q.10280·Miscellaneous·2015·EasyThe resistance of a wire of length l and area of cross-section a is x ohm. If the wire is stretched to double its length, its resistance would become:View question
Q.10282·Miscellaneous·2015·EasyWhich of the following statements regarding heavy water are correct? 1.It is extensively used as a moderator in nuclear reactors 2.It cannot be used in exchange reaction to study reaction mechanism 3.Viscosity of heavy water is relatively smaller than that of ordinary water 4.The dielectric constant of heavy water is smaller than that of ordinary water Select the correct answer using the code given below:View question
Q.10283·Miscellaneous·2015·EasyConservation of momentum in a collision between particles can be understood on the basis of:View question
Q.10285·Miscellaneous·2015·EasyTo weld metals together, high temperature is required. Such a high temperature is obtained by burning:View question
Q.10286·Miscellaneous·2015·EasyTwo forces, one of 3 newton and another of 4 newton are applied on a standard 1 kg body, placed on a horizontal and frictionless surface, simultaneously along the x-axis and the y-axis, respectively, as shown below: The magnitude of the resultant acceleration is:View question
Q.10288·Miscellaneous·2015·EasyWhat are the co-ordinates of the foot of the perpendicular drawn from the point (3, 5, 4) on the plane z = 0 ?View question
Q.10289·Miscellaneous·2015·EasyThe lengths of the intercepts on the co-ordinate axes made by the plane 5x + 2y + z – 13 = 0 areView question
Q.10290·Miscellaneous·2015·EasyThe area of the square, one of whose diagonals is 3i + 4j isView question
Q.10291·Miscellaneous·2015·EasyIf b and c are the position vectors of the points B and C respectively, then the position vector of the point D such that BD = 4BC isView question
Q.10292·Miscellaneous·2015·EasyConsider the function f(x) = { ax – 2 , –2 < x < –1 –1 , –1 ≤ x ≤ 1 a + 2(x – 1)² , 1 < x < 2 } What is the value of a for which f(x) is continuous at x = –1 and x = 1?View question
Q.10293·Miscellaneous·2015·EasyConsider the following functions : 1. f(x) = { 1/x , if x ≠ 0 ; 0 , if x = 0 } 2. f(x) = { 2x + 5 , if x > 0 ; x² + 2x + 5 , if x ≤ 0 } Which of the above functions is/are derivable at x = 0 ?View question
Q.10294·Miscellaneous·2015·EasyConsider the following statements : 1. The function f(x) = x² + 2cos x is increasing in the interval (0, π) 2. The function f(x) = ln(√(1 + x²) - x) is decreasing in the interval (-∞, ∞) Which of the above statements is/are correct ?View question
Q.10295·Miscellaneous·2015·EasyThe derivative of ln(x + sin x) with respect to (x + cos x) isView question
Q.10296·Miscellaneous·2015·EasyIf x^a y^b = (x - y)^(a + b), then the value of (dy/dx)(y/x) is equal toView question